Most of the time, it's a nice change, honestly. Most of the time, I have no gripes. Most of the time, the core elements that make that series feel like that series remain intact.
(Like, with Bioshock Infinite dropping the survival horror aspect, my favorite genre, and the setting/characters/plot/practically everything ever.... I still adored the hell out of that game because it still felt like a Bioshock.)
Then Capcom showed us Dead Rising 3, with the new protagonist, Gritty McSerious, and the CoD-esque brown/tan/khaki/brown color scheme that looks like his vision is stained with poo - nothing at all like its predecessors. I've seen the 'whacky' tidbits in DR3, but it still just feels too serious so I still struggle to consider it a DR game.
Also Capcom did that thing where RE5 is a shooter and RE6 is a QTE game, and neither are survival horror games. The ambiance is gone, guys. Though, to be fair, that was gone the moment you decided to add co-op/multiplayer. They're not bad games, I still enjoyed them, they're just not the Resident Evil I know and love.
Oh, and Silent Hill: Shattered Memories. I don't even care that it's a different developer, this one can't really be forgiven -- Climax claimed to know what makes a SH game feel like a SH game and failed in every aspect, and that's why I'm unhappy. Don't lie to us, guys. Even the puzzles feel more like "Baby's first puzzle book" and less like the games that required knowledge of Shakespeare to solve the puzzles. To make this crap worse, they jumped on the bandwagon that removed combat from survival horrors to make them 'super scary.' Some cases, this works alright. In this case, it's just frustrating and.. not really fun to play. This decision also confuses me. Homecoming was action-packed, and its sibling has no combat at all? I'll stop whining and just repeat my feelings for Resident Evil - It's not a bad adventure game.. but I didn't go into it expecting to play an adventure game.
There's probably more. Probably. But these are my three biggest gripes/disappointments for the time being.
tl;dr mixed feelings, until it reaches the point of feeling like a different game entirely.